{"title":"Analysis of solutions and disease progressions for a within-host Tuberculosis model","authors":"Wenjing Zhang, Federico Frascoli, J. Heffernan","doi":"10.5206/mase/10221","DOIUrl":null,"url":null,"abstract":"Mycobacterium tuberculosis infection can lead to different disease outcomes, we analyze awith-in host tuberculosis infection model considering interactions between macrophages, T lym-phocytes, and tuberculosis bacteria to understand the dynamics of disease progression. Fourcoexisting equilibria that reflect TB disease dynamics are present: clearance, latency, and pri-mary disease, with low and high pathogen loads. We also derive the conditions for backwardand forward bifurcations and for global stable disease free equilibrium, which affect how thedisease progresses. Numerical bifurcation analysis and simulations elucidate the dynamics offast and slow disease progression.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in applied sciences and engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5206/mase/10221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 7
Abstract
Mycobacterium tuberculosis infection can lead to different disease outcomes, we analyze awith-in host tuberculosis infection model considering interactions between macrophages, T lym-phocytes, and tuberculosis bacteria to understand the dynamics of disease progression. Fourcoexisting equilibria that reflect TB disease dynamics are present: clearance, latency, and pri-mary disease, with low and high pathogen loads. We also derive the conditions for backwardand forward bifurcations and for global stable disease free equilibrium, which affect how thedisease progresses. Numerical bifurcation analysis and simulations elucidate the dynamics offast and slow disease progression.
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